题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-21020.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-42735.png)
(2)求过
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-20470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-42735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-91242.png)
(3)一束光线从
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142514-61010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-91242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142514-17835.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142514-66418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142514-27808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142515-30805.png)
解析
试题分析:(1)先用中点坐标公式求出线段
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-42735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142515-86030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-42735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-42735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142514-61010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-91242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142515-13726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142515-57280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142514-17835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-42735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-91242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142514-17835.png)
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142516-66332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142516-79326.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-42735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142516-16819.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142516-88259.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-42735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142517-34020.png)
∴由点斜式可得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142517-42461.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-42735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142514-66418.png)
(2)由点斜式
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142517-87305.png)
∴直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142513-91242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142514-27808.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142517-88043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142518-73351.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142515-13726.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142518-29888.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142518-50033.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142518-77658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142518-13059.png)
由点斜式可得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142519-51012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142515-30805.png)
∴反射光线所在的直线方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142515-30805.png)
法二:设入射点的坐标为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142519-18132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142519-91206.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142519-38476.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142520-66455.png)
由点斜式可得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142519-51012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142515-30805.png)
∴反射光线所在的直线方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142515-30805.png)
核心考点
试题【已知平面内两点.(1)求的中垂线方程;(2)求过点且与直线平行的直线的方程;(3)一束光线从点射向(2)中的直线,若反射光线过点,求反射光线所在的直线方程.】;主要考察你对直线方程的几种形式等知识点的理解。[详细]
举一反三
A.-1 | B.2 | C.0或-2 | D.-1或2 |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142448-78246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142449-36550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142449-51660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022142448-78246.png)
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